SSC MTS 6 Aug 2019 Shift 1 Paper

Short Trick:
(20 + 18)% of CP = 570
CP = 1500
Required SP = 1500 × (100 - 12)/100 = Rs. 1320
Detailed Solution:
Let the cost price be 100x.
⇒ Selling price when sold at 12% profit = 100x × 120% = 120x
⇒ Selling price when sold at 18% loss = 100x × 82% = 82x
⇒ The difference in selling price when sold at 20% Profit and when sold at 18% Loss = 570
⇒ (120x - 82x) = 570
⇒ 38x = 570
⇒ 100x = 1500
⇒ Selling price when sold at 12% loss = cost price × (100 - 12)%
⇒ Selling price when sold at 12% loss = 1500 × 88% = Rs. 1320
∴ Selling price at 12% loss will be Rs. 1320.